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Finding the Fourth Proportional to 66.38, 91.53 and 59.83

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Solution

The fourth proportional to 66.38, 91.53 and 59.83 is: 82.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.38 : 91.53 = 59.83 : x
  2. Step 2: Convert to fraction form
    66.38/91.53 = 59.83/x
  3. Step 3: Cross multiply
    66.38x = 91.53 × 59.83
  4. Step 4: Simplify right side
    66.38x = 5,476.01
  5. Step 5: Solve for x
    x = 5,476.01/66.38
  6. Step 6: Final answer
    x = 82.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.